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Finding the Fourth Proportional to 3,820.90, 5,726.76 and 3,318.03

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Solution

The fourth proportional to 3,820.90, 5,726.76 and 3,318.03 is: 4,973.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,820.90 : 5,726.76 = 3,318.03 : x
  2. Step 2: Convert to fraction form
    3,820.90/5,726.76 = 3,318.03/x
  3. Step 3: Cross multiply
    3,820.90x = 5,726.76 × 3,318.03
  4. Step 4: Simplify right side
    3,820.90x = 19,001,561.48
  5. Step 5: Solve for x
    x = 19,001,561.48/3,820.90
  6. Step 6: Final answer
    x = 4,973.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.